One of the interior opposite angles of a triangle is 400 and the exterior angle is 1200 . Find the measures of the other two angles of the triangle.
Answers
Given : One of the interior opposite angles of a triangle is 40° and the exterior angle is 120° .
To Find : the measures of the other two angles of the triangle.
Solution:
Method 1 :
Exterior angle of a triangle form a linear pair with the angle of triangle
Hence 120° + x = 180°
=> x = 60°
Sum of the angles of a triangle = 180°
Hence 60° + 40° + y = 180°
=> y = 80°
Hence 60° and 80° are other two angles
Method :
Exterior angle of triangle = Sum of opposite two interior angles
120° = 40° + y
=> y = 80°
Sum of the angles of a triangle = 180°
Hence 80° + 40° + 8= 180°
=> x = 60°
Hence 60° and 80° are other two angles
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